Stone game, C/C++ Programming

Assignment Help:
A game is played with three piles of stones and two players. At her turn, a player removes one or more stones from the piles. However, if she takes stones from more than one pile, she must remove the same number of stones from each of the selected piles.
In other words, the player chooses some N>0 and removes:
? N stones from any single pile; or ? N stones from each of any two piles (2N total); or ? N stones from each of the three piles (3N total).
The player taking the last stone(s) wins the game.
A winning configuration is one where the first player can force a win. For example, (0,0,13), (0,11,11) and (5,5,5) are winning configurations because the first player can immediately remove all stones.
A losing configuration is one where the second player can force a win, no matter what the first player does. For example, (0,1,2) and (1,3,3) are losing configurations: any legal move leaves a winning configuration for the second player. Consider all losing configurations (xi,yi,zi) where xi = yi = zi = 100. We can verify that S(xi+yi+zi) = 173895 for these.
Find S(xi+yi+zi) where (xi,yi,zi) ranges over the losing configurations with xi = yi = zi = 1000.

Related Discussions:- Stone game

Build a standalone module to extract and parse, A skilled programmer is req...

A skilled programmer is required to build a standalone module to extract, parse and store in database tables, word count data from web pages and RSS feeds. The module will take

Does improper inheritance have potential to wreck a project, Does improper ...

Does improper inheritance have a potential to wreck a project? Many projects meet a dead end due to bad inheritance. Hence it certainly has potential to wreck a project. Sma

What are compound statements, What are compound statements? - Compound ...

What are compound statements? - Compound statements are made up of two or more program statements that are executed together. They may be executed with a loop. - Curly brack

Create an array of strings, Create an array of Strings and fill it with som...

Create an array of Strings and fill it with some interesting text, such as vacation destinations, album names, or weapon names from a CRPG. Display three elements of the array on t

C program for reverse the word in string, C Program for REVERSE THE WORD IN...

C Program for REVERSE THE WORD IN STRING #include conio.h> #include stdio.h> #include string.h> void main() {           char a[50],b[25][25],temp;           i

Oops, how to create the programs in c++ knowledge

how to create the programs in c++ knowledge

Explain the rules for overloading an operator, Rules for overloading an ope...

Rules for overloading an operator This summarizes the most significant points you need to know in order to do operator function overloading. The only operators you may o

Write a program that finds the minimum total number of she., Write a progra...

Write a program that finds the minimum total number of shelv, C/C++ Programming

Define the increment and decrement operators in c language, Define the Incr...

Define the Increment and Decrement Operators in c language? C offers two special operators -and ++ called decrement and increment operators respectively and these are unary ope

Define the return statement in computer programming, Define The Return Stat...

Define The Return Statement in Computer Programming? The return statement is used for two purposes once the return statement is executed the program control will be immediately

Write Your Message!

Captcha
Free Assignment Quote

Assured A++ Grade

Get guaranteed satisfaction & time on delivery in every assignment order you paid with us! We ensure premium quality solution document along with free turntin report!

All rights reserved! Copyrights ©2019-2020 ExpertsMind IT Educational Pvt Ltd